Details

Time bar (total: 1.7m)

sample25.0ms

Algorithm
intervals
Results
10.0ms58×body1280valid
5.0ms142×body80valid
4.0ms29×body640valid
2.0ms19×body320valid
1.0ms8×body160valid

simplify11.0ms

Calls
1 calls:
Slowest
10.0ms
(- (cbrt (+ x 1)) (cbrt x))

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.0b

localize10.0ms

Local error

Found 3 expressions with local error:

2.3b
(- (cbrt (+ x 1)) (cbrt x))
0.6b
(cbrt x)
0.3b
(cbrt (+ x 1))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
64×cbrt-prod
56×*-un-lft-identity
42×prod-diff
41×add-sqr-sqrt
33×add-cube-cbrt
9×distribute-lft-out
7×fma-neg
5×add-log-exp
4×difference-of-squares
3×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u distribute-lft-out--
2×cbrt-div pow1/3
1×sub-neg flip3-+ flip3-- diff-log flip-+ flip--
Calls
3 calls:
Slowest
37.0ms
(- (cbrt (+ x 1)) (cbrt x))
2.0ms
(cbrt (+ x 1))
1.0ms
(cbrt x)

series439.0ms

Calls
3 calls:
Slowest
278.0ms
(cbrt x)
123.0ms
(- (cbrt (+ x 1)) (cbrt x))
38.0ms
(cbrt (+ x 1))

simplify7.2s

Calls
122 calls:
Slowest
411.0ms
(- (+ (* 1/3 x) 1) (+ (* 1/9 (pow x 2)) (pow x 1/3)))
407.0ms
(- (+ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x))) (+ (* (pow (* x -1) 1/3) (cbrt -1)) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (pow x 2)))))
263.0ms
(- (+ (* 1/3 (pow (/ 1 (pow x 2)) 1/3)) (pow (/ 1 x) -1/3)) (* 1/9 (pow (/ 1 (pow x 5)) 1/3)))
249.0ms
(- (+ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (pow x 2))))
248.0ms
(- (+ (* 1/3 (pow (/ 1 (pow x 2)) 1/3)) (* 5/81 (pow (/ 1 (pow x 8)) 1/3))) (* 1/9 (pow (/ 1 (pow x 5)) 1/3)))

prune880.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 15.0b

localize20.0ms

Local error

Found 4 expressions with local error:

2.3b
(- (cbrt (* (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (+ x 1)))) (cbrt x))
0.6b
(cbrt x)
0.3b
(cbrt (* (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (+ x 1))))
0.3b
(cbrt (+ x 1))

rewrite1.0s

Algorithm
rewrite-expression-head
Rules
1196×cbrt-prod
787×add-sqr-sqrt
390×prod-diff
377×*-un-lft-identity
315×associate-*l*
292×unswap-sqr
239×add-cube-cbrt
112×swap-sqr associate-*r*
82×cbrt-div
65×fma-neg
57×distribute-lft-out
40×difference-of-squares
37×*-commutative
28×frac-times flip3-+ flip-+
14×associate-*l/
8×associate-*r/
6×add-log-exp
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u distribute-lft-out--
3×pow1/3
2×pow3 rem-cbrt-cube
1×sub-neg flip3-- diff-log flip--
Calls
4 calls:
Slowest
891.0ms
(- (cbrt (* (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (+ x 1)))) (cbrt x))
112.0ms
(cbrt (* (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (+ x 1))))
2.0ms
(cbrt (+ x 1))
1.0ms
(cbrt x)

series485.0ms

Calls
4 calls:
Slowest
268.0ms
(cbrt x)
128.0ms
(- (cbrt (* (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (+ x 1)))) (cbrt x))
46.0ms
(cbrt (* (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (+ x 1))))
42.0ms
(cbrt (+ x 1))

simplify1.2m

Calls
1043 calls:
Slowest
426.0ms
(fma (cbrt (* (* (sqrt (cbrt (+ x 1))) (sqrt (cbrt (+ x 1)))) (sqrt (cbrt (+ x 1))))) (cbrt (* (* (sqrt (cbrt (+ x 1))) (sqrt (cbrt (+ x 1)))) (sqrt (cbrt (+ x 1))))) (- (* (cbrt x) 1)))
345.0ms
(- (+ (* 1/3 x) 1) (+ (* 1/9 (pow x 2)) (pow x 1/3)))
324.0ms
(fma (cbrt (* (* (sqrt (cbrt (+ x 1))) (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1))))) (cbrt (* (* (sqrt (cbrt (+ x 1))) (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1))))) (- (* (cbrt (cbrt x)) (* (cbrt (cbrt x)) (cbrt (cbrt x))))))
318.0ms
(- (+ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x))) (+ (* (pow (* x -1) 1/3) (cbrt -1)) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (pow x 2)))))
309.0ms
(fma (cbrt (* (* (sqrt (cbrt (+ x 1))) (cbrt (sqrt (+ x 1)))) (sqrt (cbrt (+ x 1))))) (cbrt (* (* (sqrt (cbrt (+ x 1))) (cbrt (sqrt (+ x 1)))) (sqrt (cbrt (+ x 1))))) (- (* (cbrt (cbrt x)) (* (cbrt (cbrt x)) (cbrt (cbrt x))))))

prune7.4s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 15.0b

localize38.0ms

Local error

Found 4 expressions with local error:

2.2b
(- (* (cbrt (* (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (+ x 1)))) (cbrt (* (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (+ x 1))))) (* (cbrt x) (cbrt x)))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite9.0s

Algorithm
rewrite-expression-head
Rules
95389×add-sqr-sqrt
91081×cbrt-prod
62728×unswap-sqr
17442×prod-diff
16690×swap-sqr
12007×*-un-lft-identity
11887×associate-*l*
7488×associate-*r*
7305×add-cube-cbrt
4934×*-commutative
3915×difference-of-squares
1624×distribute-lft-out
646×fma-neg
17×distribute-lft-out--
6×add-log-exp
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u
3×pow1/3
1×sub-neg flip3-- diff-log flip--
Calls
4 calls:
Slowest
5.4s
(- (* (cbrt (* (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (+ x 1)))) (cbrt (* (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (+ x 1))))) (* (cbrt x) (cbrt x)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.9s

Calls
4 calls:
Slowest
1.1s
(- (* (cbrt (* (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (+ x 1)))) (cbrt (* (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (+ x 1))))) (* (cbrt x) (cbrt x)))
272.0ms
(cbrt x)
272.0ms
(cbrt x)
260.0ms
(cbrt x)